Odd. It's 165.
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Do you see that ' 7 ' on the end of 127 ? That ' 7 ' is odd, so the entire number is odd. It doesn't matter how many other numbers come before the ' 7 ' or what they are.
An even number can be divided by 2 evenly. An odd number will have a remainder of 1 when divided by 2. Even plus odd is even.
It is an odd number.
Count how many of the numbers are odd. If an odd number of them are odd, then their sum is odd. If an even number of them are odd, then their sum is even.
The parity rules are: Odd + Odd = Even Even + Even = Even Odd + Even = Odd Even + Odd = Odd So the parity where one number is even is that of the other number. This means that you can go through a list of numbers and ignore all the even numbers. Every PAIR of odd numbers has even parity and by the previous paragraph, even parity can be ignored. So you can pair off odd numbers and ignore them.
An even number can be divided by 2 evenly. An odd number will have a remainder of 1 when divided by 2. 127 is an odd number.
An odd number plus an even number will always be an odd number.
You'll get an odd number when adding two evens (which will be even) and an odd number.
Yes, an even number plus an even number is always even. Also, and odd number plus an odd number is always even.
Do you see that ' 7 ' on the end of 127 ? That ' 7 ' is odd, so the entire number is odd. It doesn't matter how many other numbers come before the ' 7 ' or what they are.
An even number can be divided by 2 evenly. An odd number will have a remainder of 1 when divided by 2. Even plus odd is even.
It is an odd number.
... equals an even number
It is an odd number.
Count how many of the numbers are odd. If an odd number of them are odd, then their sum is odd. If an even number of them are odd, then their sum is even.
The parity rules are: Odd + Odd = Even Even + Even = Even Odd + Even = Odd Even + Odd = Odd So the parity where one number is even is that of the other number. This means that you can go through a list of numbers and ignore all the even numbers. Every PAIR of odd numbers has even parity and by the previous paragraph, even parity can be ignored. So you can pair off odd numbers and ignore them.
Any odd number can be written as an even number plus one. Any even number plus any other even number makes an even number. Add one makes an odd number. So an odd number plus an even number is always an odd number. Algebraically, any odd number can be written as 2a+ 1 where a is a whole number. Any even number can be written as 2b, where b is a whole number. Add them together, the sum is 2(a + b) + 1, which is odd.